SOLUTION: determine the correct half-plane in each case and complete the graph 4x+y>4 (the symbol > has an underline)

Algebra ->  Inequalities -> SOLUTION: determine the correct half-plane in each case and complete the graph 4x+y>4 (the symbol > has an underline)      Log On


   

Question 134814: determine the correct half-plane in each case and complete the graph
4x+y>4 (the symbol > has an underline)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
determine the correct half-plane in each case and complete the graph
4x+y>4 (the symbol > has an underline)
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4x+y >= 4
y >= -4x+4
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!st: Graph the EQUALITY which is the boundary for INEQUALITY:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-4x%2B4%29
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2n: Select a point that is not on the boundary to be a test point.
for example select (0,0)
Put those value into the INEQUALITY to see if that point is or is
not part of the solution:
0 > -4*0 + 4
0 > 4
That is false so shade the half-plane on the side that does not
contain (0,0); that would be the half-plane above the boundary.
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Cheers,
Stan H.